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Simplifying 8(x + -7) = x(x + -7) Reorder the terms: 8(-7 + x) = x(x + -7) (-7 * 8 + x * 8) = x(x + -7) (-56 + 8x) = x(x + -7) Reorder the terms: -56 + 8x = x(-7 + x) -56 + 8x = (-7 * x + x * x) -56 + 8x = (-7x + x2) Solving -56 + 8x = -7x + x2 Solving for variable 'x'. Combine like terms: 8x + 7x = 15x -56 + 15x + -1x2 = -7x + x2 + 7x + -1x2 Reorder the terms: -56 + 15x + -1x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 -56 + 15x + -1x2 = 0 + x2 + -1x2 -56 + 15x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -56 + 15x + -1x2 = 0 Factor a trinomial. (-8 + x)(7 + -1x) = 0Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {8, 7}
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